Given numbers are 458,289,548,966

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 458,289,548,966 is 17517051804.

Find LCM of 458,289,548,966 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 229 x 289 x 274 x 483 = 17517051804

Therefore, the lowest common multiple of 458,289,548,966 is 17517051804.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

458 x 289 x 548 x 966 = 70068207216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

458 : 1, 2, 229, 458

289 : 1, 17, 289

548 : 1, 2, 4, 137, 274, 548

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,289,548,966, is 1.

Now, the common factors can be found like this.

458:2x 229

289:17x 17

548:2x 2x 137

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 70068207216/(1x4)

LCM = 70068207216/4

LCM = 17517051804

Thus, we can understand that the LCM of 458,289,548,966 is 17517051804.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 486, 319, 335, 887
• LCM of 707, 777, 236, 308
• LCM of 294, 641, 932, 617
• LCM of 341, 513, 693, 200
• LCM of 967, 881, 238, 953

1. What is the LCM of 458, 289, 548, 966?

Answer: LCM of 458, 289, 548, 966 is 17517051804.

2. How to calculate the LCM of 458, 289, 548, 966?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 458, 289, 548, 966.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.